9546 ÷ 7 = 1363 R5
Alright, let's work through the division of 9546 by 7 step by step.

Step 1:
7 goes into 9 1 times with a remainder of 2.
Write down 1 as next digit of of the result. 
Result so far: 1
Subtract 7 from 9 to get 2.
Bring next digit (5) of the dividend behind the 2 and repeat the process: 25 / 7

Step 2:
7 goes into 25 3 times with a remainder of 4.
Write down 3 as next digit of of the result. 
Result so far: 13
Subtract 21 from 25 to get 4.
Bring next digit (4) of the dividend behind the 4 and repeat the process: 44 / 7

Step 3:
7 goes into 44 6 times with a remainder of 2.
Write down 6 as next digit of of the result. 
Result so far: 136
Subtract 42 from 44 to get 2.
Bring next digit (6) of the dividend behind the 2 and repeat the process: 26 / 7

Step 4:
7 goes into 26 3 times with a remainder of 5.
Write down 3 as next digit of of the result. 
Result so far: 1363
Subtract 21 from 26 to get 5.

The final result is 1363 with a remainder of 5.